Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires

Abstract

We analyze the charge and thermal transport at a junction of interacting quantum wires close to equilibrium. Within the framework of Tomonaga-Luttinger liquids, we compute the thermal conductance for a wide class of boundary conditions and detail the physical processes leading to the breakdown of the Wiedemann-Franz law at the junction. We show how connecting external reservoirs to the quantum wires affects the conductance tensors close to the various fixed points of the phase diagram of the junction. We therefore distinguish two types of violation of the Wiedemann-Franz law: a "trivial" one, independent of the junction dynamics and arising from the breakdown of the Fermi-liquid picture in the wire, and a junction-related counterpart, arising from multi-particle scattering processes at the junction.

26 pages, 8 figures. Published version

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• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Majorana differential shot noise and its universal thermoelectric crossover
• Generalized Wiedemann-Franz law in a two-site charge Kondo circuit: Lorenz ratio as a manifestation of the orthogonality catastrophe
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• Quantum states from mixtures of equilibrium distributions
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